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Finding the Fourth Proportional to 140,857, 194,382.72 and 77,197.36

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Solution

The fourth proportional to 140,857, 194,382.72 and 77,197.36 is: 106,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,857 : 194,382.72 = 77,197.36 : x
  2. Step 2: Convert to fraction form
    140,857/194,382.72 = 77,197.36/x
  3. Step 3: Cross multiply
    140,857x = 194,382.72 × 77,197.36
  4. Step 4: Simplify right side
    140,857x = 15,005,832,813.62
  5. Step 5: Solve for x
    x = 15,005,832,813.62/140,857
  6. Step 6: Final answer
    x = 106,532.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.